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1950068942640 = 243257213113191197

1950068942640 has 1440 divisors, whose sum is σ = 8362390772736. Its totient is φ = 403607715840.

The previous prime is 1950068942639. The next prime is 1950068942641. The reversal of 1950068942640 is 462498600591.

1950068942640 is a `hidden beast` number, since 1 + 9 + 500 + 6 + 8 + 94 + 2 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1950068942639) and next prime (1950068942641).

It is a super-2 number, since 2×19500689426402 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1950068942641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9898827022 + ... + 9898827218.

Almost surely, 21950068942640 is an apocalyptic number.

1950068942640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1950068942640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4181195386368).

1950068942640 is an abundant number, since it is smaller than the sum of its proper divisors (6412321830096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1950068942640 is a wasteful number, since it uses less digits than its factorization.

1950068942640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1950068942640 in words is "one trillion, nine hundred fifty billion, sixty-eight million, nine hundred forty-two thousand, six hundred forty".